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Finding the Fourth Proportional to 82,283.70, 115,352.70 and 82,283.70

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Solution

The fourth proportional to 82,283.70, 115,352.70 and 82,283.70 is: 115,352.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,283.70 : 115,352.70 = 82,283.70 : x
  2. Step 2: Convert to fraction form
    82,283.70/115,352.70 = 82,283.70/x
  3. Step 3: Cross multiply
    82,283.70x = 115,352.70 × 82,283.70
  4. Step 4: Simplify right side
    82,283.70x = 9,491,646,960.99
  5. Step 5: Solve for x
    x = 9,491,646,960.99/82,283.70
  6. Step 6: Final answer
    x = 115,352.70

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.